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Finding the Third Proportional to 331,720 and 499,244

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Solution

The third proportional to 331,720 and 499,244 is: 751,370.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,720 : 499,244 = 499,244 : x
  2. Step 2: Convert to fraction form
    331,720/499,244 = 499,244/x
  3. Step 3: Cross multiply
    331,720x = 499,244 × 499,244
  4. Step 4: Simplify right side
    331,720x = 249,244,571,536
  5. Step 5: Solve for x
    x = 249,244,571,536/331,720
  6. Step 6: Final answer
    x = 751,370.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.